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dc.contributor.author
Gresch, Dominik
dc.contributor.supervisor
Troyer, Matthias
dc.contributor.supervisor
Soluyanov, Alexey A.
dc.date.accessioned
2018-02-09T14:30:41Z
dc.date.available
2018-02-08T14:57:21Z
dc.date.available
2018-02-09T14:30:41Z
dc.date.issued
2015-05-28
dc.identifier.uri
http://hdl.handle.net/20.500.11850/239586
dc.identifier.doi
10.3929/ethz-b-000239586
dc.description.abstract
The rise of topological insulators, semimetals and superconductors established the topology of the electronic band structure as a fundamental material property. Topological materials can realize exotic novel quantum states such as an integer quantum Hall state in the absence of an external magnetic field, quasiparticle states needed for topological quantum computing, and many more. The topological nature of these states makes them insensitive to small perturbations, which has profound practical consequences. Consequently, the ability to reliably identify topological states is crucial in understanding and predicting many physical effects. In this work, we propose a general approach for calculating any topological invariant, based on the charge centers of hybrid Wannier functions. The method is illustrated in the context of Chern insulators, Z 2 topological insulators and Weyl semi- metals. Most importantly, we present Z2Pack, an easy-to-use software implementing this technique. It can be used as a post-processing tool for first-principles calculations or as a standalone package for tight-binding or k.p models. The fully automated calculation of topological invariants makes Z2Pack ideally suited for both the search for topological states of matter in existing materials and the design of materials or heterostructures with desirable topology.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
ETH Zurich
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Solid State and Materials
en_US
dc.subject
Topology
en_US
dc.subject
Physics
en_US
dc.title
Identifying topological states in matter
en_US
dc.type
Master Thesis
dc.rights.license
Creative Commons Attribution 4.0 International
ethz.size
24 p.
en_US
ethz.publication.place
Zurich
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03622 - Troyer, Matthias (ehemalig) / Troyer, Matthias (former)
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03622 - Troyer, Matthias (ehemalig) / Troyer, Matthias (former)
en_US
ethz.relation.isPartOf
10.3929/ethz-b-000308602
ethz.date.deposited
2018-02-08T14:57:23Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2018-02-09T14:30:45Z
ethz.rosetta.lastUpdated
2020-02-15T11:11:47Z
ethz.rosetta.versionExported
true
ethz.COinS
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